共查询到20条相似文献,搜索用时 17 毫秒
1.
In this paper, we study the existence of positive solutions of a two-point boundary value problem for a system of fourth-order nonlinear singular semipositone differential equations by the fixed point index theorem. Some new existence results are established, and an example is given to demonstrate the application of our main results. 相似文献
2.
By using a specially constructed cone and the fixed point index theory, this paper investigates the existence of multiple
positive solutions for the third-order threepoint singular semipositone BVP:
where 1/2 < η < 1, the non-linear term ƒ(t, x): (0, 1) × (0, + ∞) → (-∞, + ∞) is continuous and may be singular att = 0,t = 1, andx = 0, also may be negative for some values oft andx, λ is a positive parameter. 相似文献
3.
Xu Xian 《Journal of Mathematical Analysis and Applications》2002,273(2):480-491
In this paper, some new results about the existence of positive solutions for singular semi-positone boundary value problems are obtained. The results of this paper partially improve the former corresponding work. 相似文献
4.
Positive solutions of superlinear semipositone singular Dirichlet boundary value problems 总被引:1,自引:0,他引:1
Xinguang Zhang 《Journal of Mathematical Analysis and Applications》2006,316(2):525-537
In this paper, we study a class of superlinear semipositone singular second order Dirichlet boundary value problem. A sufficient condition for the existence of positive solution is obtained under the more simple assumptions. 相似文献
5.
Twin solutions to singular boundary value problems 总被引:5,自引:0,他引:5
Ravi P. Agarwal Donal O'Regan 《Proceedings of the American Mathematical Society》2000,128(7):2085-2094
In this paper we establish the existence of two nonnegative solutions to singular and singular focal boundary value problems. Our nonlinearity may be singular at , and/or .
6.
一类非线性算子方程的多重正解及其应用 总被引:13,自引:5,他引:13
本文利用不动点指数理论对一类非线性算子方程建立了多重正解的存在性定理,并将所获结果应用到Hammerstein积分方程和Sturm Liouvile两点边值问题,得到了新的结论,本质上改进和推广了[2,4,5,6,8-12]的工作. 相似文献
7.
This paper is devoted to study the existence of multiple positive solutions for the second order Dirichlet boundary value problem with impulse effects. The main results here is the generalization of Liu and Li [L. Liu, F.Y. Li, Multiple positive solution of nonlinear two-point boundary value problems, J. Math. Anal. Appl. 203 (1996) 610-625] for ordinary differential equations. Existence is established via the theory of fixed point index in cones. 相似文献
8.
This paper is devoted to study the existence of multiple positive solutions for the second order periodic boundary value problem with impulse effects. The main results here are the generalization of Jiang [Daqing Jiang, On the existence of positive solutions to second order periodic BVPs, Acta Math. Sci. 18 (1998) 31–35] for ordinary differential equations. Existence is established via the theory of fixed point index in cones. 相似文献
9.
In this paper we study the existence and multiplicity of solutions of the following operator equation in Banach space E:
u=λAu,0<λ<+∞,u∈P?{θ}, 相似文献
10.
Justino Sánchez 《Journal of Mathematical Analysis and Applications》2004,292(2):401-414
We establish a existence result of multiple positive solutions for a singular eigenvalue type problem involving the one-dimensional p-Laplacian. Furthermore, we obtain a nonexistence result of positive solutions by taking advantage of the internal geometric properties related to the problem. Our approach is based on the fixed point index theory and the fixed point theorem in cones. 相似文献
11.
Yongping Sun 《Journal of Mathematical Analysis and Applications》2005,306(2):589-603
In this paper we investigate the problem of existence of positive solutions for the nonlinear singular third-order three-point boundary value problem
12.
13.
Xian Xu 《Journal of Mathematical Analysis and Applications》2004,291(2):673-689
In this paper, some multiplicity results for positive solutions of some singular semi-positone three-point boundary value problem be obtained by using the fixed point index method. 相似文献
14.
In this paper, by the use of a fixed point theorem, many new necessary and sufficient conditions for the existence of positive solutions in C[0,1]∩C1[0,1]∩C2(0,1) or C[0,1]∩C2(0,1) are presented for singular superlinear and sublinear second-order boundary value problems. Singularities at t=0, t=1 will be discussed. 相似文献
15.
We study the nonlinear boundary value problem
16.
Necessary and sufficient conditions are obtained for the existence of symmetric positive solutions to the boundary value problem
17.
18.
Guoqing Chai 《Journal of Mathematical Analysis and Applications》2007,330(1):541-549
In the case of not requiring f(t,u) to be nonnegative, by transforming the boundary value problem into the integral equation system, and applying the fixed point index theory, the author studies the following second-order boundary value problem with one parameter
19.
In this paper, a new twin fixed point theorem is applied to obtain the existence of at least two positive solutions for the boundary value problem
20.
By constructing a special cone and using fixed point index theory in cone, this paper investigates the existence of multiple solutions of singular boundary value problems for differential systems. 相似文献